GATE EE 2016 Set 2 — Question 41

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NAT+2 / -0MediumLine, Surface & Volume IntegralsVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Line, Surface & Volume Integrals

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Question

The line integral of the vector field F=5xzi^+(3x2+2y)j^+x2zk^\vec{F} = 5xz \hat{i} + (3x^2 + 2y) \hat{j} + x^2z \hat{k} along a path from (0,0,0)(0,0,0) to (1,1,1)(1,1,1) parametrized by (t,t2,t)(t, t^2, t) is _____.
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